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Q.

A stone is projected at an angle 300 with the horizontal  with a velocity 20 m/s from the top of a building 15 m high . The velocity with which it will hit the ground is 

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a

50 m/s

b

103 m/s

c

107 m/s

d

207 m/s

answer is A.

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Detailed Solution

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horizontal component of the velocity of the stone remains constant  20 cosθ=103m/s 

but initial vertical component of velocity is 20sin 300=10m/s     

 and final vertical velocity  will be vy=uy2+2gy   =102+21015=20m/s 

resultant velocity = 1032+202=700=107 m/s

 

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